Doppler-Only Multistatic Radar

<p>In order to estimate the position and velocity of a target most multistatic radar systems require multiple independent target measurements such as angle-ofarrival time-of-arrival and Doppler information. Though inexpensive and reliable Doppler-only systems have not been widely implemented due to the inherent nonlinear problem of determining a target's position and velocity from their measurements. We solve this problem. In particular we first establish the lack of observability in the Doppler-only bistatic system thereby demonstrating the need for multiple transmitters and/or receivers. Next for a multistatic system with a sufficient number of transmitter-receiver pairs we invoke classical optimization techniques such as gradient-descent and Newton's method to quickly and reliably find a numerical solution to the system of nonlinear Doppler equations. Finally we indicate a best design for the transmitter-receiver constellation to be employed in the aforementioned optimization.</p><p>This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact and remains as true to the original work as possible. Therefore you will see the original copyright references library stamps (as most of these works have been housed in our most important libraries around the world) and other notations in the work.</p><p>This work is in the public domain in the United States of America and possibly other nations. Within the United States you may freely copy and distribute this work as no entity (individual or corporate) has a copyright on the body of the work.</p><p>As a reproduction of a historical artifact this work may contain missing or blurred pages poor pictures errant marks etc. Scholars believe and we concur that this work is important enough to be preserved reproduced and made generally available to the public. We appreciate your support of the preservation process and thank you for being an important part of keeping this knowledge alive and relevant.</p><br>